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### by S. Lang

In mathematics, the Jacobi elliptic functions are a set of basic elliptic functions, and auxiliary theta functions, that are of historical importance

In mathematics, the Jacobi elliptic functions are a set of basic elliptic functions, and auxiliary theta functions, that are of historical importance. While trigonometric functions are defined with reference to a circle, the Jacobi elliptic functions are a generalization which refer to other conic sections, the ellipse in particular.

Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and theory . The book is divided into four parts. In the first, Lang presents the general analytic theory starting from scratch.

Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and theory has been at the center of mathematics since the early part of the nineteenth century. Most of this can be read by a student with a basic knowledge of complex analysis. The next part treats complex multiplication, including a discussion of Deuring's theory of l-adic and p-adic representations, and elliptic curves with singular invariants.

In complex analysis, an elliptic function is a meromorphic function that is periodic in two directions. Just as a periodic function of a real variable is defined by its values on an interval, an elliptic function is determined by its values on a fundamental parallelogram, which then repeat in a lattice. Such a doubly periodic function cannot be holomorphic, as it would then be a bounded entire function, and by Liouville's theorem every such function must be constant.

Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and theory has been at the center of mathematics since the early .

Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and theory has been at the center of mathematics since the early part of the nineteenth centu. Part of the Graduate Texts in Mathematics book series (GTM, volume 112).

Elliptic function Doubly periodic meromorphic function on C. Too simple object? Indeed, in most of modern textbooks on the complex analysis, elliptic functions appear usually just as examples. BUT! in fact, many branches of modern mathematics, especially algebraic geometry, came out of study of elliptic functions in the XIXth century. 2. §. Subjects related to elliptic functions. Subjects which will and will not appear in the course. Elliptic integrals: ∫u √ z(u) R(x, φ(x)) dx. x0. R(x, s): rational function in two variables. (x): polynomial of degree three or four.

Elliptic Functions, Lang. Варианты приобретения. Описание: This is the first book that deals systematically with the numerical solution of elliptic partial differential equations by their reduction to the interface via the Schur complement. Inheriting the beneficial features of finite element, boundary element and domain decomposition methods, our approach permits solving iteratively the Schur complement equation with linear-logarithmic cost in the number of the interface degrees of freedom.

Below you'll find a Serge Lang books list, including published and even unpublished works.

Any type of book or journal citing Serge Lang as a writer should appear on this. Below you'll find a Serge Lang books list, including published and even unpublished works. Any type of book or journal citing Serge Lang as a writer should appear on this list. The full bibliography of the author Serge Lang below includes book jacket images whenever possible. Items featured on this poll include everything from Cyclotomic fields to The file (1977-1979).

Introduction to Elliptic Functions by Bowman, F and a great selection of related books, art and collectibles . Lang: - English, Pages 116, Print on Demand

Lang: - English, Pages 116, Print on Demand. Extra 10 days apart from the normal shipping period will be required for leather bound books. Seller Inventory LB1111004197129. More information about this seller Contact this seller 3. Seller Image. Introduction to Elliptic Functions, with applications. Bowman, . Published by New York, Dover, .

In mathematics, the Jacobi elliptic functions are a set of basic elliptic functions, and auxiliary theta functions .

In mathematics, the Jacobi elliptic functions are a set of basic elliptic functions, and auxiliary theta functions, that are of historical importance. Many of their features show up in important structures and have direct relevance to some applications (. the equation of a pendulum-also see pendulum (mathematics)). The Jacobi elliptic functions are used more often in practical problems than the Weierstrass elliptic functions as they do not require notions of complex analysis to be defined and/or understood. They were introduced by Carl Gustav Jakob Jacobi (1829). YouTube Encyclopedic. ISBN13: 978-3540965084

ISBN: 3540965084

Author: S. Lang

Category: Math and Science

Subcategory: Mathematics

Language: English

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K (December 31, 1987)

Pages: 326 pages

ePUB size: 1640 kb

FB2 size: 1989 kb

Rating: 4.6

Other Formats: rtf mbr lrf mobi